%0 Journal Article
%T 具有阈值控制的植物病虫害模型的全局动力学分析<br>Global Dynamics Analysis of a Plant Disease Model with Threshold Control
%A 杨梦
%J Advances in Applied Mathematics
%P 453-461
%@ 2324-8009
%D 2025
%I Hans Publishing
%R 10.12677/AAM.2025.141044
%X 本文研究了一类分段光滑的植物病虫害模型，通过研究感染个体的数量在单位时间内的变化，以 决定是否采取移除措施。 利用 F ilippov 理论、非光滑 Lyap-unov 函数等方法，根据基本再生数的 取值情况，讨论系统的无病平衡点、 地方病平衡点的全局动力学行为。 最后，采用数值仿真的方 法展示了全局动力学。<br>This paper studies the global dynamics of a class of piecewise smooth plant disease model, by studying the change in the number of infected individuals per unit time, to determine whether removal measures should be taken. Based on the value of the basic reproduction number and combined with Filippov theory, non-smooth Lyapunov function and other methods, discussing the global dynamical behaviors of the disease- free equilibrium and the endemic equilibrium of the system. Finally, using numerical simulation to show global dynamics.
%K Filippov系统，植物病虫害，阈值控制，全局动力学<br>Filippov System
%K Plant Diseases
%K Threshold Control
%K Global Dynamics
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=106535